A Characterisation of Smooth Maps into a Homogeneous Space
We generalize Cartan's logarithmic derivative of a smooth map from a manifold into a Lie group to smooth maps into a homogeneous space = /, and determine the global monodromy obstruction to reconstructing such maps from infinitesimal data. The logarithmic derivative of the embedding of a subm...
Збережено в:
| Опубліковано в: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2022 |
| ISSN: | 1815-0659 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2022
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211639 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Characterisation of Smooth Maps into a Homogeneous Space. Anthony D. Blaom. SIGMA 18 (2022), 029, 15 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | We generalize Cartan's logarithmic derivative of a smooth map from a manifold into a Lie group to smooth maps into a homogeneous space = /, and determine the global monodromy obstruction to reconstructing such maps from infinitesimal data. The logarithmic derivative of the embedding of a submanifold Σ ⊂ becomes an invariant of Σ under symmetries of the ''Klein geometry'' , whose analysis is taken up in [SIGMA 14 (2018), 062, 36 pages, arXiv:1703.03851].
|
|---|---|
| ISSN: | 1815-0659 |